Alexander polynomials of alternating knots of genus two III

被引：0

作者：

Jong, In Dae ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Fac Liberal Arts & Sci, Naka Ku, Sakai, Osaka 5998531, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 04期

基金：

日本学术振兴会;

关键词：

Alexander polynomial; Alternating knot; Stoimenow's generator; LINKS;

D O I：

10.1016/j.topol.2011.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the previous paper, the author gave linear inequalities on the coefficients of the Alexander polynomials of alternating knots of genus two, which are best possible as linear inequalities on the coefficients of them. In this paper, we give infinitely many Alexander polynomials which satisfy the linear inequalities, but they are not realized by alternating knots. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1007 / 1015

页数：9

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